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Finding the Fourth Proportional to 165.72, 248.58 and 146.52

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Solution

The fourth proportional to 165.72, 248.58 and 146.52 is: 219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.72 : 248.58 = 146.52 : x
  2. Step 2: Convert to fraction form
    165.72/248.58 = 146.52/x
  3. Step 3: Cross multiply
    165.72x = 248.58 × 146.52
  4. Step 4: Simplify right side
    165.72x = 36,421.94
  5. Step 5: Solve for x
    x = 36,421.94/165.72
  6. Step 6: Final answer
    x = 219.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.